已知定义域为R的函数
是奇函数,当
时,
.
(1)求
的解析式;
(2)若对任意的
,不等式
恒成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c93fc8d3acb51005be1b312e9338d13.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c147912d6afbf3ec3d1576198bb2bc.png)
21-22高一上·浙江·期末 查看更多[2]
(已下线)【新东方】【2021.5.25】【NB】【高一上】【高中数学】【NB00097】(已下线)第04讲 函数的奇偶性(教师版)-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第一册)
更新时间:2021-05-29 18:31:56
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适中
(0.65)
【推荐1】已知函数
,
.
(1)当
时,求函数
在区间
上的值域;
(2)对于任意的实数
和
,当
,
时,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df844fda65a8a38cd3d810268e60a844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97aadd67532e28190ab1962ed5292687.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
(2)对于任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0496d81c441e6cfa9c26ff7e83746eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18460a96aebeb7b0a9963f476893f30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】已知
,
.求:
(1)计算
和
的值;
(2)计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db091ec0b095ce415ed79e0c81fd141c.png)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4555f25abf2a59c6470198754404e440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceb86a2bebabdcf5e8beebf3f98fed8.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db091ec0b095ce415ed79e0c81fd141c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc8bde90cd15ebee483584c939f19fc.png)
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解答题-证明题
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解题方法
【推荐1】已知函数
是定义在区间
上的奇函数,且
.
(1)求函数
的解析式;
(2)判断函数
在区间
上的单调性,并用函数单调性的定义证明.
(3)求满足不等式
的实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe0f42c576f21a1bdf83ba3ab95225b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff3d5a71fd3cab7fc039fd67fbf8873.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(3)求满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a264f43f098ac0729143668d7978cf1.png)
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解答题-问答题
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适中
(0.65)
【推荐2】已知函数
是定义在
上的奇函数,当
时,
.
(1)求:
时,函数
的解析式;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d43eb5d13c51115c0ca3087bb0b50a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e66379593ce7bd83923695aa3b8a0a.png)
(1)求:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8b527865aefa9186462f2ad4a72617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba133a841dc252fe3e690cc9c1560395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】对于函数
,若满足
(k为常效)成立的x取值范围所构成的集合A称为函数
的“k倍集合”,已知二次函数
.
(1)当
时,求函数
的“2倍集合”;
(2)若函数
,是否存在实数a,使得
最小值为5?若存在,求出a的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8806cf7a8fc63b64625ab53b3cf36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7729bd0cd502a5133e2349f7646cc74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af648c2c9a19ec3f24f5fabd166c4a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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适中
(0.65)
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解题方法
【推荐2】已知二次函数
的最小值为
,且
.
(1)求
的解析式;
(2)在区间
上,
的图象恒在
的图象上方,试确定实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c5ec2052cc8ea5f48e53fa5cd888de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b0038caa95467e6c42805925a5fd23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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